Beluchenko's p13
Jump to navigation
Jump to search
Beluchenko's p13  
View animated image  
View static image  
Pattern type  Oscillator  

Number of cells  34  
Bounding box  17×17  
Period  13  
Mod  13  
Heat  30.2  
Volatility  0.96  
Strict volatility  0.96  
Discovered by  Nicolay Beluchenko  
Year of discovery  2009  
 
 
 

Beluchenko's p13 is a period 13 oscillator found by Nicolay Beluchenko^{[1]} on January 4, 2009.^{[2]} In terms of its 34 cells, it is the smallest known period 13 oscillator.^{[3]}
It can be combined with itself and with other oscillators to produce larger oscillators with periods that are multiples of 13. There are three ways in which two of these can share a common block, all of which are shown below. Jason Summers also discovered that four of these oscillators can be combined to create a pure rotor oscillator (i.e., where none of the cells are alive in all phases), making it the first such oscillator known with a prime period greater than two.
Image gallery
See also
References
 ↑ "New Oscillators at Game of Life News" (January 8, 2009). Retrieved on April 11, 2009.
 ↑ Jason Summers' allosc oscillators collection
 ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
External links
 34P13.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
 Patterns
 Oscillators with 34 cells
 Patterns with 34 cells
 Patterns found by Nicolay Beluchenko
 Patterns found in 2009
 Patterns that can be constructed with 14 gliders
 Oscillators
 Periodic objects with minimum population 34
 Oscillators with period 13
 Oscillators with mod 13
 Oscillators with heat 30
 Oscillators with volatility 0.96
 Oscillators with strict volatility 0.96
 Patterns with bilateral diagonal symmetry
 Sparkers
 Sparkers with period 13
 Strong sparkers
 Dot sparkers
 Seminatural periodic objects